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Finding the Fourth Proportional to 5,846.16, 8,067.86 and 3,489.67

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Solution

The fourth proportional to 5,846.16, 8,067.86 and 3,489.67 is: 4,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.16 : 8,067.86 = 3,489.67 : x
  2. Step 2: Convert to fraction form
    5,846.16/8,067.86 = 3,489.67/x
  3. Step 3: Cross multiply
    5,846.16x = 8,067.86 × 3,489.67
  4. Step 4: Simplify right side
    5,846.16x = 28,154,144.47
  5. Step 5: Solve for x
    x = 28,154,144.47/5,846.16
  6. Step 6: Final answer
    x = 4,815.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.